Congruence and Transformations in Geometry Quiz

Translation moves each point the same distance in the same direction, preserving size and shape.

Reflection involves flipping a figure over a line, changing its orientation.

A 90-degree counterclockwise rotation turns a figure by a right angle.

Translation involves moving a figure along a straight line, preserving its shape and size.

Dilation stretches or compresses a figure, altering its size.

Reflection flips a figure over a specific line, altering its orientation.

Dilation changes the size of a figure without altering its shape.

A 180-degree rotation turns a figure halfway around, changing its orientation.

Dilation alters the size of a figure without changing its shape.

The translation vector for this movement is (4, 3), representing the horizontal and vertical shifts.

Reflection across the x-axis negates the y-coordinate, resulting in (2, -3).

Reflection across the y-axis negates the x-coordinate, resulting in (-5, 2).

Rotation produces a congruent figure as it preserves shape and size.

Dilation with a scale factor of 0.5 reduces the area by half.

Reflection changes the orientation of a figure by flipping it over a line.

Reflection across the x-axis changes the sign of each y-coordinate, causing them to alternate.

A 270-degree counterclockwise rotation swaps x and y and negates the new y-coordinate, resulting in (-4, -3).

Translation preserves size and shape by moving every point the same distance and direction.

Rotation maintains both distance and angle measures, keeping the shape intact.

The dilation matrix with a scale factor of 2 is [[2, 0], [0, 2]], stretching the figure in both dimensions.

A 270-degree counterclockwise rotation swaps x and y and negates the new x-coordinate, resulting in (-4, -3).

The reflection matrix across y = x is [[0, 1], [1, 0]], swapping x and y coordinates.

A 180-degree rotation flips the sign of both coordinates, resulting in (-4, -6).

Reflection across y = 2x negates the x-coordinate, resulting in (-3, 2).

The rotation matrix for a 90-degree counterclockwise rotation is [[0, -1], [1, 0]].